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Finding the Fourth Proportional to 460,903.40, 691,355.10 and 429,410.60

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Solution

The fourth proportional to 460,903.40, 691,355.10 and 429,410.60 is: 644,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,903.40 : 691,355.10 = 429,410.60 : x
  2. Step 2: Convert to fraction form
    460,903.40/691,355.10 = 429,410.60/x
  3. Step 3: Cross multiply
    460,903.40x = 691,355.10 × 429,410.60
  4. Step 4: Simplify right side
    460,903.40x = 296,875,208,304.06
  5. Step 5: Solve for x
    x = 296,875,208,304.06/460,903.40
  6. Step 6: Final answer
    x = 644,115.90

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.